X^2+2xy+3y^2-18=0

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Solution for X^2+2xy+3y^2-18=0 equation: 


Simplifying
X2 + 2xy + 3y2 + -18 = 0

Reorder the terms:
-18 + X2 + 2xy + 3y2 = 0

Solving
-18 + X2 + 2xy + 3y2 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '18' to each side of the equation.
-18 + X2 + 2xy + 18 + 3y2 = 0 + 18

Reorder the terms:
-18 + 18 + X2 + 2xy + 3y2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + X2 + 2xy + 3y2 = 0 + 18
X2 + 2xy + 3y2 = 0 + 18

Combine like terms: 0 + 18 = 18
X2 + 2xy + 3y2 = 18

Add '-2xy' to each side of the equation.
X2 + 2xy + -2xy + 3y2 = 18 + -2xy

Combine like terms: 2xy + -2xy = 0
X2 + 0 + 3y2 = 18 + -2xy
X2 + 3y2 = 18 + -2xy

Add '-3y2' to each side of the equation.
X2 + 3y2 + -3y2 = 18 + -2xy + -3y2

Combine like terms: 3y2 + -3y2 = 0
X2 + 0 = 18 + -2xy + -3y2
X2 = 18 + -2xy + -3y2

Simplifying
X2 = 18 + -2xy + -3y2

Reorder the terms:
-18 + X2 + 2xy + 3y2 = 18 + -2xy + -3y2 + -18 + 2xy + 3y2

Reorder the terms:
-18 + X2 + 2xy + 3y2 = 18 + -18 + -2xy + 2xy + -3y2 + 3y2

Combine like terms: 18 + -18 = 0
-18 + X2 + 2xy + 3y2 = 0 + -2xy + 2xy + -3y2 + 3y2
-18 + X2 + 2xy + 3y2 = -2xy + 2xy + -3y2 + 3y2

Combine like terms: -2xy + 2xy = 0
-18 + X2 + 2xy + 3y2 = 0 + -3y2 + 3y2
-18 + X2 + 2xy + 3y2 = -3y2 + 3y2

Combine like terms: -3y2 + 3y2 = 0
-18 + X2 + 2xy + 3y2 = 0

The solution to this equation could not be determined.

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